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Finding the Fourth Proportional to 522.13, 783.29 and 265.63

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Solution

The fourth proportional to 522.13, 783.29 and 265.63 is: 398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.13 : 783.29 = 265.63 : x
  2. Step 2: Convert to fraction form
    522.13/783.29 = 265.63/x
  3. Step 3: Cross multiply
    522.13x = 783.29 × 265.63
  4. Step 4: Simplify right side
    522.13x = 208,065.32
  5. Step 5: Solve for x
    x = 208,065.32/522.13
  6. Step 6: Final answer
    x = 398.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.